34414 ÷ 6 = 5735 R4
No problem, we've got 34414 and 6 for the division.

Step 1:
6 goes into 3 0 times with a remainder of 3.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 3 to get 3.
Bring next digit (4) of the dividend behind the 3 and repeat the process: 34 / 6

Step 2:
6 goes into 34 5 times with a remainder of 4.
Write down 5 as next digit of of the result. 
Result so far: 5
Subtract 30 from 34 to get 4.
Bring next digit (4) of the dividend behind the 4 and repeat the process: 44 / 6

Step 3:
6 goes into 44 7 times with a remainder of 2.
Write down 7 as next digit of of the result. 
Result so far: 57
Subtract 42 from 44 to get 2.
Bring next digit (1) of the dividend behind the 2 and repeat the process: 21 / 6

Step 4:
6 goes into 21 3 times with a remainder of 3.
Write down 3 as next digit of of the result. 
Result so far: 573
Subtract 18 from 21 to get 3.
Bring next digit (4) of the dividend behind the 3 and repeat the process: 34 / 6

Step 5:
6 goes into 34 5 times with a remainder of 4.
Write down 5 as next digit of of the result. 
Result so far: 5735
Subtract 30 from 34 to get 4.

The final result is 5735 with a remainder of 4.